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Finding the Fourth Proportional to 809.44, 1,213.26 and 347.61

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Solution

The fourth proportional to 809.44, 1,213.26 and 347.61 is: 521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.44 : 1,213.26 = 347.61 : x
  2. Step 2: Convert to fraction form
    809.44/1,213.26 = 347.61/x
  3. Step 3: Cross multiply
    809.44x = 1,213.26 × 347.61
  4. Step 4: Simplify right side
    809.44x = 421,741.31
  5. Step 5: Solve for x
    x = 421,741.31/809.44
  6. Step 6: Final answer
    x = 521.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.